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Finding the Fourth Proportional to 452,276.16, 677,615.92 and 274,422

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Solution

The fourth proportional to 452,276.16, 677,615.92 and 274,422 is: 411,148.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,276.16 : 677,615.92 = 274,422 : x
  2. Step 2: Convert to fraction form
    452,276.16/677,615.92 = 274,422/x
  3. Step 3: Cross multiply
    452,276.16x = 677,615.92 × 274,422
  4. Step 4: Simplify right side
    452,276.16x = 185,952,715,998.24
  5. Step 5: Solve for x
    x = 185,952,715,998.24/452,276.16
  6. Step 6: Final answer
    x = 411,148.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.